To determine which sign makes the statement true, we need to compare the two numbers:
\(4.11 \times 10^{11}\) and \(4.11 \times 10^{12}\).
The number \(10^{12}\) is larger than \(10^{11}\) by a factor of 10. Therefore, we can compare:
- \(4.11 \times 10^{11}\) is equal to \(4.11\) multiplied by \(100,000,000,000\).
- \(4.11 \times 10^{12}\) is equal to \(4.11\) multiplied by \(1,000,000,000,000\).
Since \(10^{12} > 10^{11}\), it follows that:
\[4.11 \times 10^{11} < 4.11 \times 10^{12}\]
So the correct sign to make the statement true is:
\(<\)
Thus, the complete statement is:
\(4.11 \times 10^{11} < 4.11 \times 10^{12}\)
1 answer